University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2019
Views:

35

Pages:

1
Author:

Micah Williams

CYLINDERS PRACTICE: Find the Lateral Area, Surface Area, and Volume of the following cylinders. 1) radius=4 cm, height=3 cm (leave !) B = pi * r ^ 2 B = 16pi LA = 2pi*rh LA = 24pi SA = LA + 2B SA = 24pi + 2(16pi) SA = 56pi V = pi * r ^ 2 * h V = 48pi LA= 24 cm² mathfrak SA = 56pi*Cm ^ 2 V = 48pi*c * m ^ 3 2) radius=8 m, height=15 m (leave π!) B = pi * r ^ 2 B = 64pi LA = 2pi*rh LA = 240pi SA = LA + 2B SA = 240pi + 2(64pi) SA = 368pi V = pi * r ^ 2 * h LA = 240pi * m ^ 2 V = 960pi SA = 368pi * m ^ 2 V = 960pi * m ^ 3 3) Find the volume and surface area of a cylinder if the lateral area is 16 ft² and height=2 ft. (leave π!) LA = 2pi*rh 16pi = 2pi*r(2) 16 = 4r r = 4 SA = 48pi*f * 1 ^ 2 v = 32pi*f * t ^ 3 4) Determine the area of the label on a container of cleaning wipes with radius 3.5 in. and height 14 inches. (Use pi = 3.14 ) LA = 2pi*rh LA = 2(3.14)(14) LA = 307.72i * n ^ 2 5) The volume of a cylinder is 2232.9796 in. The height of the cylinder is 18.5 in. Find the lateral and surface area. (Use pi = 3.14 ) V = pi * r ^ 2 * h 2232.9796 = 3.14r ^ 2 * (18.5) 2232.9796 = 58.09r ^ 2 38.44 = r ^ 2 r = 6.2 LA= 720.316 in² SA 961.7192 in² 6) If a soup can has a radius of 3.8 cm and a height of 10.2 cm, how many square centimeters of steel would be needed to produce 10 soup cans. (Use pi = 3.14 ) LA = 2xrh = 2(3.14)(3.8)(10.2) = 243.4128 cm² SALA + 2B = LA + 2(πr²) = 243.4128 + 2(3.14)(3.8)² = 334.096 cm² For 10 cans = (334.096)(10) = 3340.96 cm²